summer math 2012 - filename: _____ summer math assignment for students entering 8th grade pre...

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Summer Math Assignment For students entering 8th Grade Pre Algebra

This packet is designed to help you review the concepts and problem solving skills that you have already learned throughout the 7th Grade to help you prepare for success in the 8th Grade. Please show all work on the provided work pages. Points will be deducted for work not shown. This summer assignment will count as the first grade in your 8th grade math class. Enjoy your summer! Think about math often! See you in September! 6th, 7th, & 8th Grade Math Teachers

Multiple Choice Test A

Choose the best answer. 1. Use the pattern to draw the next

three figures. ⇔⇐⇑⇒⇓⇔⇐

A ⇓⇔⇐ C ⇑⇔⇐ B ⇔⇐⇑ D ⇑⇒⇓

2. Which is the missing number in the pattern 5, 15, 45, __, 405? A 50 B 135

3. What is the value of 44? A 16 B 256

4. The population of a small town is expected to double every 5 years. If the population was 47 in 2005, what will the population be in 2030? A 752 C 3,008 B 1,504 D 229,345,007

5. Which shows the number 2,038,000 written correctly in scientific notation? A 203.8 × 104 C 2.038 × 106 B 2.038 × 105 D 2.038 × 107

6. Pluto is approximately 5.9 × 109 kilometers away from the sun. How many kilometers is that? A 5,900,000,000 km B 59,000,000,000 km

7. Simplify the expression 16 + (4 × 6) − 32. A 31 C 111 B 49 D 961

8. Which expression simplifies to 5? A 4 + 9 ÷ 3 − 2 B 60 − 5 × 11 + 7

9. Which is an example of the Commutative Property of Multiplication? A 1 + 7 = 7 + 1 B (2 × 4) × 5 = 5 × (4 × 2) C 12 × 1 = 12 D 4 × 8 = 8 × 4

10. 1 × (3 + 7) = (1 × 3) + (1 × 7) is an example of which property? A Associative C Distributive B Commutative D Identity

CHAPTER

1

Multiple Choice Test A, continued

11. Which expression is equal to 4? A t − 5 for t = 10 B 2t + 1 for t = 2 C 2 + t for t = 4 D t ÷ 4 for t = 16

12. Evaluate 4 + 3p2 − c for p = 2 and c = 8. A 2 C 16 B 8 D 24

13. Which expression is equal to “three less than a number multiplied by six?” A 6(x − 3) C 3 − 6x B 6x − 3 D 6 − 3x

14. Which phrase represents the expression 3x + 9? A three times nine plus a number B a number multiplied by three then

added to nine 15. Which expression is equivalent to

4x + x2 − 4x? A 8x − x2 B x2

16. The side length of an equilateral triangle is 3x − 2. Which expression represents the perimeter of the triangle? A 3x − 2 C 9x − 6 B 9x − 8 D 6x − 5

17. Which value for r is a solution of 20 = 4r + 8? A r = 3 C r = 7 B r = 4 D r = 12

18. There are 78 seventh-graders at Mark’s school. If there are 14 more girls than boys, how many seventh-grade boys are there? A 64 boys C 32 boys B 46 boys D 25 boys

19. What is the value of w in the equation w − 6 = 8? A w = 14 B w = 2

20. Solve the equation 24 + b = 40. A b = 16 C b = 64 B b = 26 D b = 960

21. What is the value of t in the equation 4t = 68? A t = 72 C t = 27 B t = 64 D t = 17

22. Cathy bought a new bicycle for $240. If she saved $15 towards the cost of the bicycle each week, how many weeks did she save for? A 16 weeks B 17 weeks

23. Solve the following equation: d6

= 12.

A d = 2 C d = 18 B d = 6 D d = 72

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Name ________________________________________ Date __________________ Class __________________

Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.

29 Holt McDougal Mathematics


Choose the best answer. 1. Which replacement for x makes this a

true statement? 5 < x A −6 C 4 B 0 D 9

2. Order the integers from least to greatest: −3, 4, 1. A −3, 1, 4 B 1, −3, 4

3. Find the absolute value |−3|. A −3 B 3

4. At 6 A.M. the temperature was −8 °C. In the afternoon, the temperature was 3 °C. What was the change of temperature during the day? A −11 °C C 5 °C B −5 °C D 11 °C

5. Evaluate a + b for a = 5 and b = –2. A −5 C 2 B −3 D 3

6. Find the sum −9 + 5. A −14 C 4 B −4 D 14

7. Evaluate a − b for a = −3 and b = −8. A −11 B 5

8. Find the difference 6 −(−8). A 14 B −2

9. Find the product 4 • (−3). A −12 C 1 B −7 D 12

10. Find the quotient −24 ÷ (−8). A 3 C −16 B −3 D −32

11. Simplify (−5) • (−6). A −30 B 30

12. Solve n − 4 = −2. A n = 6 C n = −6 B n = 2 D n = −14

13. Solve g3

= −5.

A g = 15 C g = −2

B g = − 35

D g = −15

14. Terri withdrew $17 from her savings account. The current balance is $33. How much was the balance before her withdrawal? A $16 B $50

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15. Which is the prime factorization of 36? A 2 • 32 B 22 • 32

16. Which is the prime factorization of 56? A 23 • 7 B 2 • 4 • 7

17. Find the GCF for 12, 8. A 1 C 4 B 2 D 6

18. Find the GCF for 18, 6, 24, 30. A 1 C 5 B 3 D 6

19. Find the LCM for 3, 4, 10. A 60 B 30

20. Find the LCM for 2, 3, 5, 6. A 180 B 30

21. Which fraction is equivalent to 4

12?

A 4

16 C

39

B 8

16 D

6

12

22. Which improper fraction is equivalent

to 2 14

?

A 98

B 94

23. Rick used 3 18

cups of sugar to make

cookies. Which fraction shows how

many 18

cups of sugar he used to

make cookies?

A 248

B 258

24. Which decimal is equivalent to 3

10?

A 3.333 C 0.6 B 0.7 D 0.3

25. Beth bought 25 trading cards of which 19 were sports cards. Which decimal shows what portion of the cards were sports cards? A 0.76 B 1.316

26. Which number is greatest?

A 14

C 0.26

B 25

D 0.44

27. Which set of fractions is in order from least to greatest?

A 13

, 24

, 35

B 35

, 24

, 13

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Choose the best answer. 1. What is the best estimate for

14.4 ÷ (−7.2)? A −7 C 2 B −2 D 3

2. Sarah needs to raise $487 for her class trip. If she can save $29 per week, which is the best estimate for how many weeks it will take to save enough? A 12 weeks C 16 weeks B 14 weeks D 19 weeks

3. Add 36.8 + (−21.3). A −15.06 B 15.5

4. Subtract 47.1 − (−33.5). A 80.6 B 38.73

5. Mary has $45 to spend on the school field trip. After paying $33.50 for the cost of the field trip and $9.75 for lunch, how much will she have left? A $1.75 C $35.25 B $11.50 D $43.25

6. Multiply 3.9 × 5.4. A 16.2 C 21.06 B 19.5 D 21.6

7. Multiply −9.3 × 4.4. A −39.6 B −40.92

8. Richard’s hourly salary is $8.50. Last week he worked a 30-hour week. How much did he earn? A $255 B $270

9. Divide 17.17 ÷ 8.5. A 4 C 2.3 B 2.02 D 1.98

10. Divide 85.68 ÷ (−7.2). A −12.14 B −11.9

11. Solve y + 7.2 = −8.6. A y = −15.8 C y = 1.4 B y = −1.4 D y = 15.8

12. Cynthia orders 27 prints of a photograph she took. It costs her a total of $242.73. Which equation can used to find how much each print cost?

A c7

= 242.73

B c – 27 = 242.73 C 27c = 242.73 D c = 242.73 × 27

13. What is the best estimate for

1 12

− 1 13

?

A 1 B 16

14. Add 56

+ 56

.

A 1012

C 12

3

B 1 4

12 D

110

12

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15. Subtract 78

− 14

.

A 58

C 54

B 98

D 1 58

16. Add 2 5

8 +

15

8.

A 3 1

4 B

4 1

4

17. Subtract 4 3

4 −

11

4.

A 3 1

2 B

2 1

4

18. Multiply 23

• 45

.

A 8

15 C

68

B 34

D 1210

19. Multiply 3 1

4 •

78

.

A 3 7

32 C

2012

B 2 27

32 D

2032

20. Karen works at a health food store.

She has 6 1

2 pounds of peanuts. She

is splitting them into 18 pound

packages. How many packages can she make?

A 1316

packages

B 52 packages

21. Evaluate 23

• 14

÷ 12

.

A 13

B 23

22. Solve x − 1 34

= 2 12

.

A x = 14

B x = 3 1

4

C x = 4 1

4

D x = 4 1

3

23. Solve 23

x = 58

.

A x = 115

16

B x = 1516

C x = 8

15

D x = 5

12

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Choose the best answer. 1. Julie’s school has 36 sixth-graders

and 48 seventh-graders. What is the ratio of sixth-graders to seventh- graders in simplest form? A 4:3 C 12 to 3 B 3:4 D 2 to 3

2. Roger is 60 inches tall. Tony is 64 inches tall. What is the ratio of Roger’s height to Tony’s height in simplest form? A 4 to 5 C 30:37 B 5 to 6 D 15:16

3. 16 oz of trail mix costs $3.20. What is the cost per ounce? A $0.02 C $0.20 B $0.16 D $0.40

4. Miho drove 270 miles in 4.5 hours. What is her average rate of speed? A 45 mph C 60 mph B 50 mph D 67.5 mph

5. Find an equivalent ratio. 3:10 A 1 to 3 C 6:13 B 9 to 30 D 12:48

6. Find an equivalent ratio. 8:6 A 4 to 3 C 16 to 9 B 2:1 D 10:8

7. Solve for x.

243

= x2

A 16 B 36 8. Terry drove 366 miles in 6 hours at a

constant speed. How long would it take him to drive 427 miles at the same speed? A 3 hours C 7 hours B 6.5 hours D 61 hours

9. Which measure is the same as 6 gallons? A 12 pints B 24 quarts

10. How many pounds are in 128 ounces? A 8 B 16

11. A water container has a capacity of 2,600 mL. How many liters is that? A 0.26 liters C 26 liters B 2.6 liters D 260 liters

12. George is 139 cm tall. Rich is 1.28 m tall. Julie is 1,401 mm tall. Which shows the students in order from shortest to tallest? A Julie, George, Rich B Rich, George, Julie

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13. If a leaky faucet drips four ounces of water per minute, how many gallons per hour would that be? A 1.875 gal B 0.03125 gal

14. In 20 seconds, Jodie counts 6 vehicles passing by her house. At that rate, how many vehicles would pass by in one hour? A 18 B 1080

15. Mark rode his bike to school at an average speed of 12 miles per hour. What was his speed in feet per minute (fpm)? A 1056 fpm C 0.2 fpm B 63,360 fpm D 2640 fpm

16. Which set of side lengths for triangles is similar to the triangle shown below?

A 8, 8, 8 C 5, 5, 9 B 4, 8, 10 D 3, 4, 5

17. The two triangles are similar. Find x.

A x = 1 B x = 27

18. A building with a height of 40 m casts a shadow that is 30 m long. A statue next to the building casts a shadow that is 6 m long. How tall is the statue? A 8 m C 2 m B 5 m D 1.5 m

19. On a scale drawing with a scale of

1

50, the height of a building is

6 inches. How tall is the actual building? A 25 feet B 300 feet

20. On a scale drawing with a scale of 1 in:5 ft, a tree is 5 in. tall. How tall is the actual tree? A 25 in. C 25 ft B 10 ft D 30 ft

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Choose the best answer. 1. Which quadrant contains point C?

A I C III B II D IV

2. What are the coordinates of the point that is two units left and six units up from the origin? A (−2, 6) C (−2, −6) B (2, 6) D (2, −6)

3. Which statement best tells the story of the graph?

A A car slowed down to a stop. B A car maintained constant speed.

Use the table for 4−5.

x y −1 −9

0 −6

1 −3

2 0

4. Which function matches the function table above? A y = 3x − 6 B y = 6x − 3

5. Which ordered pair would NOT be included in an expanded table for the rule? A (10, 22) B (−2, −12)

Use the table for 6−7.

x 1 2 3 4 5 y 4 8 12 16

6. Which of the following best describes the sequence of y-values? A arithmetic; add 4 B geometric; multiply by 4 C arithmetic; add −4 D geometric; multiply by −4

7. Which value for y completes the table for the x-value of 5? A −20 C 17 B −4 D 20

8. The graph of which linear function passes through the origin? A y = x + 7 B y = 7x

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9. Which linear function matches the graph?

A y = x + 4 C y = 2x + 4 B y = 2x D y = 4x + 2

10. Ellen draws a line through the points (2, 5) and (0, 9). What is the slope of this line?

A 12

B −2

11. Cassie draws a line through the points (1, 2) and (4, 3). What is the slope of this line?

A 13

B 3

12. Which are the x- and y-intercepts of the equation x + 5y = 20? A x-intercept: 1; y-intercept: 5 B x-intercept: 4; y-intercept: 20 C x-intercept: 5; y-intercept: 1 D x-intercept: 20; y-intercept: 4

13. What is the slope of the line whose equation is 2x + y = 8?

A 12

B −2

14. Which equation describes the line with a slope of 2 and a y-intercept of 6? A y = 2x + 6 B y = 6x + 2

15. Is this relationship a direct variation?

x 3 2 1 y 8 6 4

A yes B no

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5

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Choose the best answer. 1. Which percent is modeled by the

shaded portion of the grid?

A 20% B 80%

2. A store is selling all of its items for 25% off. Which shows the percent of discount as a fraction in simplest form?

A 1

25 B

14

3. Samara’s investment account earns 5% annually. Which shows the percent written as a decimal? A 0.0005 C 0.5 B 0.05 D 5

4. Write 12

as a percent.

A 10% C 20% B 15% D 50%

5. Julius walks 0.4 miles. Which shows the decimal written as a percent? A 20% B 40%

6. Evan sees an mp3 player on sale for

35

off. Which shows this fraction

written as a percent? A 6% B 60%

7. Order the numbers from least to greatest.

0.4 , 14

, 40%

A 14

, 40%, 0.4

B 40%, 14

, 0.4

8. The sales tax in New Jersey is 6%. About how much will a $31 backpack cost, including sales tax? A $1.50 C $33 B $30 D $38

For 9 and 10, estimate the percent. 9. 12% of 200

A 6 B 20 10. 23% of 509

A 125 B 250 11. What is 35% of 240?

A 48 C 84 B 74 D 86

12. Frank’s Sports store has a 20% off sale on all of its merchandise. How much is the discount on a baseball glove that originally costs $25? A $0.05 C $20.00 B $5.00 D $30.00

13. What is 75% of 60? A −15 B 45

14. 42 is 60% of what number? A 31.5 B 70

15. 250% of what number is 90? A 22.5 C 90 B 36 D 2,250

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16. A set of trading cards sells for $5 before tax. After sales tax, it costs $5.50. What is the sales tax rate? A 5% C 10% B 8% D 90%

17. What is the percent of change if 40 is increased to 50? A +10% B +25%

18. What is the percent of change if 12 is decreased to 6? A −0.5% B −50%

19. A balloon holds 2 cubic feet of air. The balloon is blown up larger to hold 6 cubic feet of air. What is the percent of change for the volume of air inside the balloon? A +4% C +300% B +200% D +600%

20. A retailer buys coats in bulk at a unit price of $60. Each coat is marked up 35% to sell in the store. What is the price of a coat in the store? A $21 C $81 B $39 D $95

21. George deposits $5,000 in a bank account that pays 10% simple interest per year. How much interest will he earn in 6 years? A $300 B $3,000

22. Misty deposits $2,000 in a bank account that pays 3% simple interest per year. If she doesn’t change the principal, what will her balance be in 5 years? A $230 B $2,300

23. How many years will it take for $10,000 to double at a simple interest rate of 10%? A 2 years C 10 years B 6 years D 20 years

24. How many years will it take for $4,000 to reach $6,000 at a simple interest rate of 5%? A 5 years C 20 years B 10 years D 75 years

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Choose the best answer.

Use the data for 1–2. 7, 9, 8, 7, 2, 6, 7, 11, 9, 7, 5, 7, 3

1. What is the mode of the data? A 2 C 7 B 5 D 11

2. How many stems would a stem-and-leaf plot of the data in the table have? A 2 B 11

Use the line plot for 3–5.

3. What is the mode of the data?

A 2 C 5 B 3 D 6

4. What is the median of the data? A 2 B 3

5. What is the mean of the data? A 2.47 C 3 B 2.85 D 3.12

Use the double-bar graph for 6–7.

6. In which year were there more boys than girls? A 2001 B 2004

7. How many total students were in the math club during the year of 2002? A 40 B 65

8. Approximately what percent of the students surveyed chose music as their favorite activity?

A 4% C 40% B 20% D 60%

Use the box-and-whisker plots for 9–10.

9. What is the difference between the

medians for test A and test B? A 10 C 40 B 35 D 45

10. What is the interquartile range of test B? A 25 B 50

CHAPTER 7

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Use the line graph for 11–12.

11. During which year were toy store

sales at their highest? A 1997 C 2000 B 1999 D 2001

12. Between which two years did toy sales increase during both years? A between 1997 and 1999 B between 1998 and 2000

13. Which type of display would be the most appropriate to compare the percentage of students who voted for 1 of 3 choices in a survey? A box-and-whisker B line graph C stem-and-leaf D circle graph

14. Middletown Middle School has 680 students. Teresa surveys a random sample of 40 students and finds that 12 of them participate in sports. How many students at the school are likely to participate in sports? A 170 B 204

15. Which of the statements is true about the data displayed in the scatter plot?

A It shows a positive correlation. B It shows a negative correlation. C It shows no correlation. D As speed increases, cost

decreases. 16. Which statement is true?

A Sales of Fruit Scrunchies were

one-third those of Honey Naturals. B Sales of Fruit Scrunchies were

three-fourths those of Honey Naturals.

CHAPTER 7

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Choose the best answer.

Use the figure for 1–2.

1. What type of figure is WX↔

? A point C plane B ray D line

2. What type of figure is Z? A point B ray

Use the figure for 3–5.

3. What type of angle is ∠EFB?

A acute C right B obtuse D straight

4. Which two angles are supplementary? A ∠EFB and ∠EFD B ∠AFC and ∠AFB

5. What is the measure of ∠DFB? A 60° B 90°

Use the figure 6–7. Line AB is parallel to line CD.

6. What is the measure of ∠2?

A 80° B 100° 7. What type of angle is formed by

adding together ∠3 and ∠4? A acute C right B obtuse D straight

8. What part of the circle is OQ ?

A chord B radius

9. What type of polygon is the figure?

A triangle B pentagon

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10. Which of the following best describes the triangle?

A equilateral acute B isosceles acute

11. Which of the following names the quadrilateral shown below?

A parallelogram C rhombus B trapezoid D irregular

12. A quadrilateral has 4 equal sides, and 2 pairs of equal angles. The pairs are not congruent with each other. What type of quadrilateral is this? A trapezoid C square B rhombus D parallelogram

13. A polygon has 8 sides. What is the sum of its interior angles? A 1080° B 1620°

14. A quadrilateral has angles that measure 71°, 74°, 113°, and x°. What is the value of x? A 102° B 258°

15. If the two triangles are congruent, what is the length of x?

A 9 B 10

16. What is the measure of angle x?

A 30° C 90° B 60° D 120°

17. Which type of transformation is shown?

A rotation 180° C translation B reflection D rotation 90°

18. How many lines of symmetry does the figure have?

A 1 C 3 B 2 D 8

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Choose the best answer. 1. Which is the most precise

measurement? A 63 ft C 495 yards B 125 in. D 3,098 mm

2. Which is the most precise measurement? A 8.3 km B 523 m

3. Which is the most precise measurement? A 16 gallons C 15 pints B 8 cups. D 15.6 pints

4. Bob is drawing the outside lines on a sports field that is 72 feet by 90 feet. What is the total length of the line he will draw to surround the field? A 18 feet C 324 feet B 162 feet D 6,480 feet

5. What is the circumference of a circle with a radius of 5 centimeters? Use 3.14 for π. A 31.4 cm B 78.5 cm

6. The diameter of Karen’s bicycle wheel is 18 inches. What is the circumference to the nearest inch? Use 3.14 for π. A 20 inches C 57 inches B 40 inches D 180 inches

7. Denise has a rectangular rug that is 6 feet long and 9 feet wide. What is the area of the rug? A 54 ft2 B 30 ft2

8. What is the area of a parallelogram with a base of 20 cm and a height of 12 cm? A 32 cm2 C 120 cm2 B 64 cm2 D 240 cm2

9. What is the area of a rectangle with a length of 8 inches and a width of 15 inches? A 23 in2 B 120 in2

10. The legs of a right triangle are 15 feet and 18 feet long. What is the area of the triangle? A 135 ft2 B 270 ft2

11. A trapezoid has bases that measure 10 centimeters and 14 centimeters and a height that measures 8 centimeters. What is the area? A 32 cm2 C 192 cm2 B 112 cm2 D 96 cm2

12. A circle has a diameter that measures 6 inches. What is the area of the circle to the nearest tenth? Use 3.14 for π. A 28.3 in2 B 113 in2

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13. A circle has a radius that measures 10 centimeters. What is the area of the circle to the nearest tenth? Use 3.14 for π. A 62.8 cm2 B 314 cm2

14. A composite figure is formed by a square and an isosceles right triangle. If the sides of the square and the legs of the triangle are 2 centimeters long what is the area of the figure? A 6 cm2 B 8 cm2

15. Which shows the best estimate for the area of the figure?

A 13 sq units C 16 sq units B 15 sq units D 23 sq units

16. A square garden has a total area of 196 square feet. What is the length of the garden’s sides? A 14 ft C 19 ft B 16 ft D 49 ft

17. A square playpen needs to be at least 80 square feet in area, constructed from pieces of fencing 1 foot long. What is the smallest length of a side if it must be a whole number of feet? A 8 ft B 9 ft

18. The area of a square side table is 300 square inches. What is the approximate length of each side of the table? Round the answer to the nearest whole inch. A 17 in. B 75 in.

19. A 13-foot ladder is leaning against a wall. If the ladder is 5 feet from the base of the wall, how far above the ground does the ladder touch the wall? A 10 feet C 25 feet B 12 feet D 144 feet

20. The front flap of a tent is shaped like an isosceles triangle. The base of the triangle is 16 feet and the height of the triangle is 6 feet. What is the length of the congruent sides of the isosceles triangle?

A 5 feet B 10 feet

CHAPTER 9

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Choose the best answer. 1. Which figure has two circular bases?

A triangular prism B cone C triangular pyramid D cylinder

2. Which figure could NOT have any triangular faces? A cone B triangular prism C square pyramid D triangular pyramid

3. What shape are the bases of the figure?

A triangles B hexagons

4. What shape is the base of the figure?

A triangle B square

5. Find the volume of the composite figure. Round to the nearest tenth. Use 3.14 for π.

A 72 mm3 C 114.2 mm3 B 89.1 mm3 D 768.3 mm3

6. Find the volume of the cylinder. Use 3.14 for π.

A 15.7 cm3 B 62.8 cm3

7. A storage trunk is 20 inches wide by 16 inches deep by 16 inches high. What is the volume of the trunk? A 1,792 in3 B 5,120 in3

8. Find the volume of the pyramid.

A 18 ft3 C 46.1 ft3 B 36 ft3 D 54 ft3

CHAPTER 10

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9. What is the volume of the cone? Use 3.14 for π.

A 33.5 cm3 C 140.9 cm3 B 100.5 cm3 D 301.6 cm3

10. What is the volume of an 8-inch tall right triangular pyramid with a base hypotenuse of 10 inches and a base leg of 8 inches? A 64 in.3 C 192 in.3 B 106.7 in.3 D 240 in.3

11. Find the surface area of the prism shown.

A 576 in2 B 1,152 in2

12. Find the surface area of the cylinder to the nearest tenth. Use 3.14 for π.

A 226.1 in2 B 197.8 in2

13. A cylindrical soup can has a base radius of 2 inches and a height of 6 inches. If the can’s label covers the sides completely, but not the bases, what is the surface area of the label? Use 3.14 for π. A 25.1 in.2 C 87 in.2 B 75.4 in.2 D 100.5 in.2

14. Find the surface area of the square pyramid. Round your answer to the nearest tenth.

A 175 cm2 C 95 cm2 B 35 cm2 D 87.5 cm2

15. Find the surface area of the right cone. Round your answer to the nearest tenth. Use 3.14 for π.

A 62.8 ft2 C 20.9 ft2 B 113.0 ft2 D 251.2 ft2

16. The surface area of a cube is 96 square feet. A similar smaller

cube has a scale factor of 14

. What is

the surface area of the smaller prism? A 4 ft2 B 6 ft2

17. The volume of a cube is 8 cubic millimeters. The volume of a similar larger cube is 216 cubic millimeters. By what scale factor is the volume of second cube larger then the first? A 3 B 27

CHAPTER 10

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Choose the best answer. 1. Lucy places five cards that are

labeled 1 to 6 face down on the table and mixes them up. What is the likelihood that her friend Harry will draw an even numbered card? A impossible B unlikely C as likely as not D certain

2. The results of a survey show that baseball is the favorite sport for 18 out of 25 people. Which percent is closest to the probability that a person’s favorite sport will NOT be baseball? A 7% B 28%

3. On the last math test in Decker’s class, 21 out of 25 students scored an 80 or higher. Which percent is closest to the experimental probability that a student selected at random will score an 80 or higher on the next test? A 4% B 84%

4. During his first 20 picks from a bag of marbles, Kai chose 8 yellow marbles, 3 green marbles, and 9 blue marbles. Each time he replaces the marble before selecting another. Which percent is closest to the experimental probability that Kai will choose a green marble on his next pick? A 3% C 45% B 15% D 85%

5. Jill rolls a number cube and spins a spinner with two equal sectors. How many outcomes are possible? A 2 C 8 B 6 D 12

6. Jose’s sandwich shop offers a lunch special on sandwiches on whole grain, black, and rye breads. You can also choose between chicken cutlet, and tuna salad. How many different sandwiches can you make for the lunch special? A 5 B 6

7. Two number cubes are rolled and the results are added. What is the probability that the sum is equal to 2?

A 1

36 B

1

18

8. Daniel made 6 out of 15 free throw shots. About how many out of the next 10 free throw shots would you expect him to make? A 2 C 4 B 3 D 5

9. Rolph spins a spinner that is split into 6 equal sectors. The sectors are labeled 3, 1, 3, 2, 3, 1. What is the probability that the spinner will land on the number 1?

A 1

12 C

13

B 16

D 12

CHAPTER 11

Name ________________________________________ Date __________________ Class __________________


10. A bag contains 4 red marbles and 1 yellow marble. What is the probability of drawing a red marble, then replacing that marble, then drawing a red marble again on the second pick?

A 825

C 15

B 1625

D 35

11. A bag contains 3 blue marbles and 2 green marbles. What is the probability of drawing a blue marble followed by a green marble, without replacing the first marble before drawing the second marble?

A 15

B 3

10

12. Lewis rolls a number cube and then chooses a card from a set of cards numbered 1 through 5. What is the probability that he will roll an even number and choose an even numbered card?

A 15

B 35

13. Ruth packs 2 muffins into a gift box. She has 3 flavors of muffins to choose from: lemon, apple, and blueberry. How many combinations of two different muffins can she pack into the box? A 2 C 5 B 3 D 6

14. Valentina has 4 colors of fabrics to choose from: red, green, blue, yellow. She is making 2-color striped shirts. How many possible combinations of 2 different colors can she choose? A 6 C 12 B 8 D 24

15. A juice store allows you to make your own juice using a combination of any 3 fruits. The available fruits are strawberries, raspberries, bananas, apples, and oranges. How many combination juices with 3 different fruits could you make? A 9 C 60 B 10 D 120

16. How many different ways can 4 paintings be arranged in a row? A 12 B 24

17. How many different ways can 6 people stand in line for movie tickets? A 120 B 720

CHAPTER 11

Multiple Choice Test

Choose the best answer. 1. What is the value of x?

2x − 3 = 15 A 6 C 12 B 9 D 18

2. What is the value of y? −3y + 11 = 20 A −3 B 3

3. What is the value of n? 4n − 12 = 24 A 9 B 3

4. A rental car costs $25 for one day plus an additional $0.30 per mile. What is the cost of renting a car for one day and driving it 50 miles? A $40.00 B $57.50

5. What is the value of t? 4t + 5 − 3t = 20 A 10 C 21 B 15 D 25

6. What is the value of y? −2(y + 4) − 6 = 22 A −18 C 20 B 15 D 32

7. Alice earns 1.5 times her normal hourly rate for each hour she works after 40 hours in a week. She worked 50 hours this week and earned $660. What is her normal hourly rate? A $12 B $18

8. What is the value of x? 6x = 3x + 15 A 5 B 45

9. What is the value of y? 5y + 10 = 8y − 50 A −60 C 20 B −20 D 60

10. Members at a yoga school pay $10 per class plus a one-time $100 membership fee. Non-members pay $15 per class. How many classes would a member have to take to save money compared to taking classes as a non-member? A 4 C 21 B 16 D 25

11. There are at least 14 visitors to the guidance department each day at school. Which inequality represents the number of visitors to the guidance department? A v < 14 B v ≥ 14

CHAPTER 12


12. Which phrase is represented by the inequality? 2n + 6 < 10 A two times a number plus six is

less than ten B six times a number plus two is

greater than ten 13. Which compound inequality is

represented by the graph?

A −3 > x > 6 C 6 < x < −3 B −6 < x < 3 D 3 ≤ x ≤ 6

14. Which graph shows the inequality? x + 17 ≤ 20 A

B

15. Which inequality has the following

graphed solution?

A x + 9 > 5 B x + 5 > 9

16. Which shows the solution to the inequality? 5x ≤ 80 A x ≥ 24 B x ≤ 16

17. Which shows the solution to the inequality? −3x > 24 A x > 8 C x > −8 B x < −8 D x > 8

18. Which shows the solution to the inequality? 4(x − 3) + 12 < 20 A x < 16 C x > 20 B x > 5 D x < 5

19. Which inequality has the following graphed solution?

A 2(x − 4) + 4 < 24 B 2(x − 4) + 4 < 12

20. Which shows the solution to the inequality? 1.5x − 6 − 3x ≤ 9 A x ≤ −10 C x ≥ −10 B x ≤ −5 D x ≥ −5

CHAPTER 12

7th Grade Math Summer Packet

Name: ___________________________________

Chapter 1

1.)____________ 2.)____________ 3.)____________ 4.)____________ 5.)____________ 6.)____________ 7.)____________ 8.)____________ 9.)____________ 10.)___________ 11.)___________ 12.)___________ 13.)___________ 14.)___________ 15.)___________ 16.)___________ 17.)___________ 18.)___________ 19.)___________ 20.)___________ 21.)___________ 22.)___________ 23.)___________

Chapter 2

1.)____________ 2.)____________ 3.)____________ 4.)____________ 5.)____________ 6.)____________ 7.)____________

8.)____________ 9.)____________ 10.)___________ 11.)___________ 12.)___________ 13.)___________ 14.)___________ 15.)___________ 16.)___________ 17.)___________ 18.)___________ 19.)___________ 20.)___________ 21.)___________ 22.)___________ 23.)___________ 24.)___________ 25.)___________ 26.)___________ 27.)___________

Chapter 3

1.)____________ 2.)____________ 3.)____________ 4.)____________ 5.)____________ 6.)____________ 7.)____________ 8.)____________ 9.)____________ 10.)___________ 11.)___________

12.)___________ 13.)___________ 14.)___________ 15.)___________ 16.)___________ 17.)___________ 18.)___________ 19.)___________ 20.)___________ 21.)___________ 22.)___________ 23.)___________

Chapter 4

1.)____________ 2.)____________ 3.)____________ 4.)____________ 5.)____________ 6.)____________ 7.)____________ 8.)____________ 9.)____________ 10.)___________ 11.)___________ 12.)___________ 13.)___________ 14.)___________ 15.)___________ 16.)___________ 17.)___________ 18.)___________ 19.)___________

20.)___________

Chapter 5

1.)____________ 2.)____________ 3.)____________ 4.)____________ 5.)____________ 6.)____________ 7.)____________ 8.)____________ 9.)____________ 10.)___________ 11.)___________ 12.)___________ 13.)___________ 14.)___________ 15.)___________

Chapter 6

1.)____________ 2.)____________ 3.)____________ 4.)____________ 5.)____________ 6.)____________ 7.)____________ 8.)____________ 9.)____________ 10.)___________ 11.)___________ 12.)___________ 13.)___________ 14.)___________

15.)___________ 16.)___________ 17.)___________ 18.)___________ 19.)___________ 20.)___________ 21.)___________ 22.)___________ 23.)___________ 24.)___________

Chapter 7

1.)____________ 2.)____________ 3.)____________ 4.)____________ 5.)____________ 6.)____________ 7.)____________ 8.)____________ 9.)____________ 10.)___________ 11.)___________ 12.)___________ 13.)___________ 14.)___________ 15.)___________ 16.)___________

7th Grade Math Summer Packet

Name: ___________________________________

Chapter 8

1.)____________ 2.)____________ 3.)____________ 4.)____________ 5.)____________ 6.)____________ 7.)____________ 8.)____________ 9.)____________ 10.)___________ 11.)___________ 12.)___________ 13.)___________ 14.)___________ 15.)___________ 16.)___________ 17.)___________ 18.)___________

Chapter 9

1.)____________ 2.)____________ 3.)____________ 4.)____________ 5.)____________ 6.)____________ 7.)____________ 8.)____________ 9.)____________ 10.)___________ 11.)___________ 12.)___________

13.)___________ 14.)___________ 15.)___________ 16.)___________ 17.)___________ 18.)___________ 19.)___________ 20.)___________

Chapter 10

1.)____________ 2.)____________ 3.)____________ 4.)____________ 5.)____________ 6.)____________ 7.)____________ 8.)____________ 9.)____________ 10.)___________ 11.)___________ 12.)___________ 13.)___________ 14.)___________ 15.)___________ 16.)___________ 17.)___________

Chapter 11

1.)____________ 2.)____________ 3.)____________ 4.)____________ 5.)____________ 6.)____________ 7.)____________ 8.)____________ 9.)____________ 10.)___________ 11.)___________ 12.)___________ 13.)___________ 14.)___________ 15.)___________ 16.)___________ 17.)___________

Chapter 12

1.)____________ 2.)____________ 3.)____________ 4.)____________ 5.)____________ 6.)____________ 7.)____________ 8.)____________ 9.)____________ 10.)___________ 11.)___________ 12.)___________ 13.)___________

14.)___________ 15.)___________ 16.)___________ 17.)___________ 18.)___________ 19.)___________ 20.)___________

You completed your summer math packet. Enjoy the

rest of your summer!

summer math 2012 - filename: _____ summer math assignment for students entering 8th grade pre...

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